2 papers
math.CV2021
Fermat functional equations over Riemann surfaces
Xianjing Dong, Liangwen Liao, Kai Liu
We investigate the existence of non-trivial holomorphic and meromorphic solutions of Fermat functional equations over an open Riemann surface . When is hyperbolic, we prove…
math.CV2021
Exact meromorphic solutions of Schwarzian differential equations
Liangwen Liao, Chengfa Wu
This paper studies exact meromorphic solutions of the autonomous Schwarzian differential equations. All transcendental meromorphic solutions of five canonical types (among six) of…